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First of all, don't give up on the basics, and secondly, correct your learning attitude.
1. The basic knowledge points are seriously lacking, resulting in their poor foundation, so they must make up their minds to change their attitude towards mathematics learning, find out all the mathematics textbooks in the three years of high school, go through them from beginning to end, first understand the knowledge points, and then do the simple example questions in the book, and the book can be extended to the test paper after completion. The process of a round of review also follows this progress, but a round of review is a review, and you have to spend several times more time previewing and practicing in advance at this stage to keep up with the progress of the teacher in the previous round of review. If you encounter a problem that you don't understand, you should ask others for advice in time, don't be embarrassed, as the so-called "sensitive and studious and not ashamed to ask".
2. If you want to further improve mathematics, you also need to have a clear understanding of your actual level of mathematics. Recognize your actual level, don't start with difficult knowledge, distinguish between knowledge points of different difficulty, master the simple basic content first, and then learn further.
3. Master the correct learning method, focus on understanding, use various quantities and quantitative changes, and use logical thinking to deduce answers. It is necessary to understand and then comprehend the methods before using them, so that they can draw inferences from one another.
4. If you are not proficient in knowledge points, you need to find out who is not proficient in those knowledge points, and you need to prepare a set of wrong questions, record the wrong questions in each test paper in time, and write out the knowledge points and ideas in order to summarize. In particular, it is necessary to ensure the accuracy of the first question and expand the answer to the second question. Consolidating knowledge points is inseparable from brushing more questions and collecting wrong questions, and Ivy Mathematics has a million question banks to better consolidate every knowledge point.
If you are familiar with the knowledge points, you don't need to spend too much time practicing, and you don't have to do useless work.
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How to remedy the math difference in the third year of high school, I think the best way is to find a tutor to invite this tutor over, and he will help you solve it 1-to-1, I think this is the only way to do it now.
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1. For the content in the textbook, it is best to preview it before class, and the targeted practice questions after class must be done carefully, not lazy, and you can also repeat the class example problems several times when reviewing after class, after all, take good class notes when you are in class. "A good memory is better than a pen". For the solution of mathematical, physical and chemical problems, it is not enough to rely on the general idea in the head, but only after careful pen calculation can we find the difficulties and master the solution method, and finally get the correct calculation results.
2. Secondly, we should be good at summarizing and classifying, looking for commonalities and connections between different question types and different knowledge points, and systematizing the knowledge we have learned. To give a specific example: in the function part of higher algebras, we learned several different types of functions, such as exponential functions, logarithmic functions, power functions, trigonometric functions, etc.
But if you compare them and summarize them, you will find that whatever kind of function you need to grasp is its expression, image shape, parity, increase and decrease, and symmetry. Then you can make the above contents of these functions in a big **, and compare them to understand and remember. When solving problems, pay attention to the combination of function expressions and graphs, and you will definitely get much better results.
3. Finally, it is necessary to strengthen after-class practice, in addition to homework, find a good reference book, and try to do as many practice questions as possible in the book (especially comprehensive questions and application questions). Practice makes perfect, so that you can consolidate the effect of classroom learning and make your problem solving faster and faster.
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I think at this point, the key is not how much you have to learn, but how much you have to give up selectively.
I don't know what kind of degree you define as bad, 150 points in mathematics, can you score 100 points?
I suggest the following:
1. The goal is set at 100 points, and I don't expect to pass the 130 points;
2. Be clear about which chapters you have a good grasp of. So first make sure that you don't lose points in the parts you have mastered well, and then postpone the practice of the chapters that you really don't understand;
3. A college entrance examination paper, its body type, the proportion of questions in each chapter are generally determined, so according to your understanding of yourself, you probably understand which questions belong to the place where you have a better mastery, which ones you need to make up carefully to have a breakthrough, and which ones are useless no matter how much you pay, then you know how to start with a test paper;
4. If the foundation is very poor, I suggest that you memorize the formulas in the mathematics textbook, like memorizing the ancient poems in primary school Chinese, and then you have to determine by yourself which ones you need to memorize (in addition to the formulas specified in the textbook, such as many second-level formulas, etc.);
5. First of all, finish the questions in the textbook, and strive to complete all the questions independently, even if you do it twice. (My math teacher in my third year of high school said that if you can make all the questions in the textbook 100% correct, there will be no problem with scoring 100 points in the college entrance examination).
6. Communicate with the teacher properly about your study plan, and study more if you don't understand, my personal habit is to like to drill alone, and it is really not good to drill, so I ask the teacher and classmates.
7. The mentality is very important, the college entrance examination is the total score, so you should reasonably distribute your experience, maybe you spent 200 efforts in mathematics but only got 50 points in return, and in other subjects, you pay 50 points of effort, in exchange for 150 points in return, this has to be weighed by yourself.
Although I didn't study high mathematics very well, I still scored 127 in the college entrance examination. I hope you can beat the college entrance examination.
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Do the question - look at the answer - think about whether you are doing the same as the answer, and if not, why the answer is doing it.
One thing is also very important, that is, to buy a good reference book, the so-called reference books are divided into two kinds, one is to talk about knowledge points, and I personally think that this kind of book is only suitable for people who don't listen to the class. The other is the example problem book, this is the one that improves the grades, and I personally think that there is a book of Xue Jinxing's "Mathematical Problem Solving Methods" (seems to be called this name) is good, the question is quite difficult, suitable for the upper middle to see, and it will not make you understand the answer. If you're not a very good character, you'll find something to learn from almost every question.
If you add your personal efforts, such as doing a few questions a day and recording what you can learn from, your grades will definitely improve.
Math is actually not difficult, the difficult thing is that few people can find her beauty, most people with poor grades feel that math is too boring, sometimes it takes half an hour or more to do a problem, they may not have experienced the excitement of thinking for a long time to finally solve the problem, or personality reasons feel that this excitement is not proportional to the investment. If the landlord is such a person, it is normal for the grades to not be high.
In general, Chinese education is like this now, as long as you are willing to take the time to do questions, see answers, and reflect, Tsinghua University and Peking University are not dreams, but in the end they may just be a high score and low ability. The key is whether you can endure loneliness and persevere.
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The most important thing is not to stay up late Staying up late has no benefit at all And it makes your thinking sluggish It is more stupid than before Go to bed early and get up early Sleep regularly and chic and efficient Stay up late and put a certain exercise last night That is just an excuse for yourself to deceive yourself Inefficient Can't remember It is equal to not doing it Listen carefully to a class 34 hours later than you also burn your body I can't sleep at night and don't read a book I imagine Star Wars You turn the tide No matter how sleepy you are in class If it is a few days, your excitement will be adjusted to the day At night, you will naturally fall asleep You must be excited during the day and tired at night, you will fall asleep, and you will develop a habit When you wake up after six o'clock, you will get up if you don't sleep, and you will not sleep in the cage, and you will not be energetic for a day.
And to see outdoor sports, you must be energetic than Madu, remember not to stay up late, listen to lectures, as long as you listen well in class, and let the homework be on the side.
Then there is self-confidence, dare to think, don't be afraid of making mistakes when doing questions, usually if you are wrong, you are wrong Practice, what inspiration to practice Don't waste your own inspiration If you are inspired, dare to write What is terrible" That's what Lao Tzu thinks That's not Okay You can't think of it Cut "Right, inspiration, don't let your inspiration run away."
In fact, the college entrance examination is very easy, you follow the experiment I said, look at the results of the monthly exam for a month, and you will find that your thoughts are flowing in the examination room.
Some of the feelings I wrote about myself were not written on the Internet, and I hope it can help you.
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The question is whether you have a good grasp of the problem, understand it, and do it well.
If you do that question again, will you still need to understand the knowledge points and apply them well?
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I'm a teacher, you click to join the forum below. There's just what you want inside.
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Do more exercises, ask more teachers, summarize more knowledge points, and find the connection between knowledge points
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After all, you have scored more than half of the scores, and it is still too late, if you are willing to endure hardship, then you go to buy a set of gold exam papers (the kind with detailed answers, now the summer vacation brushes the same question for each test paper every day) to find a sense of question, mathematical formulas read books and memorize formulas and concepts, happy class (various free resources, college entrance examination mathematics group), group number: 63840440, you can ask for help if you don't understand the questions you don't understand during the summer vacation** (answer group questions), I wish you the title of the gold list in June next year. Math is really not difficult, learn it seriously, and it's time!
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For mathematics, the first step is to memorize all the formulas, then do the workbook, it is recommended to do at least ten questions of the same question type, and then summarize the rules and experience. Usually pay more attention to exercising yourself to do the math, and the ability to know the questions will not be wrong, and the exam will be much easier.
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Be confident, as long as the teacher understands everything he says, there are no questions that he can't do, just ask if he doesn't understand.
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Pay more attention to it. I wasn't good at math before my senior year of high school. But in the third year of high school, the usual training will be increased. It's good to write more.
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Don't be nervous, even though I'm only a freshman in high school. In the third year of high school, you can't be nervous, you must be calm, usually do more questions, and consolidate more.
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Do more questions In fact, if you do more, you will find that there are only a few types.
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Do more questions and be careful.
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Brush up on questions, that's how our teachers are.
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f'(x)=e^x·(ax²+3) +2ax·e^x=e^x·(ax²+2ax+3)
1) When a=-1, f'(x)=e^x·(-x²-2x+3)
Order f'(x)=0, we get -x -2x+3=0, and we get x=1 or x=-3
Order f'(x)>0, we get -3 so the maximum is f(1)=2e, and the minimum is f(-3)=-6 e.
2) If f(x) is monotonically increased on [1,2], then f'(x) 0 is constant on [1,2], so ax +2ax+3 0,x [1,2].
a≥-3/(x²+2x),x∈[1,2]
Thus a [-3 (x +2x)]max,x [1,2].
i.e. a -3 8
If f(x) is monotonically decreasing on [1,2], then f'(x) 0 is constant on [1,2], so ax +2ax+3 0,x [1,2].
a≤-3/(x²+2x),x∈[1,2]
Thus a [-3 (x +2x)]min,x [1,2].
i.e. a -1
Therefore, the value range of a is a -1 or a -3 8
The best way to review a course is to plan first, have a clear understanding of yourself, and know where you are lacking and need to improve. If you are doing math, you must do more exercises to improve your thinking skills.
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